Seconds of Arc to Milliradians Converter

Enter the angle in seconds of arc below to get the value converted to milliradians.


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Result in Milliradians:

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1 arcsec = 0.004848 mrad

Do you want to convert milliradians to seconds of arc?

How to Convert Seconds of Arc to Milliradians

To convert a measurement in seconds of arc to a measurement in milliradians, multiply the angle by the following conversion ratio: 0.004848 milliradians/second of arc.

Since one second of arc is equal to 0.004848 milliradians, you can use this simple formula to convert:

milliradians = seconds of arc × 0.004848

The angle in milliradians is equal to the angle in seconds of arc multiplied by 0.004848.

For example, here's how to convert 500 seconds of arc to milliradians using the formula above.
milliradians = (500" × 0.004848) = 2.424068 mrad

Seconds of arc and milliradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

What Is a Second of Arc?

The second of arc is a unit of angle equal to 1/60th of one minute of arc or 1/3,600 of one degree.

A second of arc is sometimes also referred to as an arc second or arcsecond. Seconds of arc can be abbreviated as arcsec, and are also sometimes abbreviated as asec. For example, 1 second of arc can be written as 1 arcsec or 1 asec.

The second of arc is most commonly expressed using a double prime (″), though a double quote is often used as well. For example, 1 second of arc is most often written as 1″.

Learn more about seconds of arc.

What Is a Milliradian?

A milliradian is equal to 1/1,000 of a radian. One milliradian is equal to 0.0573 degrees and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for thousandths, or 10-3. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as mrad; for example, 1 milliradian can be written as 1 mrad.

Learn more about milliradians.

Second of Arc to Milliradian Conversion Table

Table showing various second of arc measurements converted to milliradians.
Seconds Of Arc Milliradians
1" 0.004848 mrad
2" 0.009696 mrad
3" 0.014544 mrad
4" 0.019393 mrad
5" 0.024241 mrad
6" 0.029089 mrad
7" 0.033937 mrad
8" 0.038785 mrad
9" 0.043633 mrad
10" 0.048481 mrad
20" 0.096963 mrad
30" 0.145444 mrad
40" 0.193925 mrad
50" 0.242407 mrad
60" 0.290888 mrad
70" 0.33937 mrad
80" 0.387851 mrad
90" 0.436332 mrad
100" 0.484814 mrad
200" 0.969627 mrad
300" 1.4544 mrad
400" 1.9393 mrad
500" 2.4241 mrad
600" 2.9089 mrad
700" 3.3937 mrad
800" 3.8785 mrad
900" 4.3633 mrad
1,000" 4.8481 mrad

More Second of Arc & Milliradian Conversions